Individuals of many species use cooperative strategies to hunt or distract predators, seek food together, join forces to survive in unfavourable abiotic conditions, or simply seek sexual reproduction at the same time and/or place [1]}. Individuals may be less likely to reproduce or survive in a small-sized population [2]}. In these instances, the size of the population is relatively important, as for a smaller size of biomass adaptability may be diminished [3]}. When Allee analysed the data of the false weevil (Tribolium confusum) he observed that the highest growth rates of their populations per capita were at intermediate densities [3]}. The fact that they were lower in high densities was not surprising, as intraspecific competition is high. When fewer males were present, females produced fewer eggs, which is not an obvious correlation for an insect. In this case, optimal egg production was thus achieved at intermediate densities. In most predation models, the Allee effect is considered to influence the population of prey and this effect is independent of the type of functional response or rate of consumption that expresses the change of predation with the size of the population of prey. For instance, Ostfeld and Canhan [5]} found that the stabilisation of vole (Microtus agrestis) populations in southeastern New York depends on the variation in reproductive rate and recruitment of the population. This effect is referred to as Allee effect [1]}. To incorporate the Allee effects in (REF ) \(r\left(1-N/K\right)\)  is replaced by \(r\left(1-N/K\right)\left(N-m\right)\)  where \(m\)  is the Allee threshold. Moreover, for \(0<m<K\) , the per-capita grow rate of the prey population with the Allee effect included is negative, but increasing, for \(N\in [0,m)\) , and this is referred to as the strong Allee effect. When \(m\le 0\) , the per-capita growth rate is positive but increases at low prey population densities and this is referred to as the weak Allee effect [1]}, [3]}.
